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mihalych1998 [28]
3 years ago
12

10 PTS! Level 4 algebra. Please show all work!!! 4 (3x - 5) + 2 (x + 3) = 1

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

12x-20+2x+6=1

14x=21

x=21/14=3/2

svp [43]3 years ago
3 0

x=15/14;

First, distribute to parenthesis

12x-20+2x+6=1

Next, combine like terms

14x-14=1

Now solve for x

14x-14(+14)=1(+14)

14x(/14)=15(/14)

x=15/14

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The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=2.86t^2. How long does it take a rock
kotykmax [81]

The time taken by the rock will be 8.77 seconds.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²

The time will be calculated by using the speed formula.

Speed = Distance \ Time

25.1   = 2.86t² \ t

t   =  25.1 / 2.86

t   =  8.77 seconds

Therefore the time taken by the rock will be 8.77 seconds.

To know more about Speed follow

brainly.com/question/6504879

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6 0
1 year ago
Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Chapter 9 TRP 9-1 Assume the taxpayer does NOT wish to contribute to the Presidential Election Fund, unless otherwise stated in
insens350 [35]

Answer:

Chapter 9 TRP 9-1

Assume the taxpayer does NOT wish to contribute to the Presidential Election Fund, unless otherwise stated in the problem.

 

Assume all taxpayers did NOT receive, sell, send, exchange, or otherwise acquire any financial interest in any virtual currency during the year.

 

Juliette White is a head of household taxpayer with a daughter named Sabrina. They live at 1009 Olinda Terrace, Apartment 5B, Reno, NV 78887. Juliette works at a local law firm, Law Offices of Dane Gray, and attends school in the evenings at Reno Community College (RCC). She is taking some general classes and is not sure what degree she wants to pursue yet. She is taking three units this semester. Full-time status at RCC is nine units. Juliette’s mother watches Sabrina after school and in the evenings (no charge) so that Juliette can work and take classes at RCC. Social security numbers are 412-34-5670 for Juliette and 412-34-5672 for Sabrina. Their birth dates are as follows: Juliette, 10/31/1988; and Sabrina, 3/1/2013.

The Form W-2 Juliette received from the Law Offices of Dane Gray contained the following information:

 

Wages (box 1) = $ 29,502.30

Federal W/H (box 2) = $ 1,007.14

Social security wages (box 3) = $ 29,502.30

Social security W/H (box 4) = $ 1,829.14

Medicare wages (box 5) = $ 29,502.30

Medicare W/H (box 6) = $ 427.78

 

Juliette also had the following expenses:

Education expenses:  

Tuition for Reno Community College $ 775

 

Prepare Juliette’s federal tax return. Use Form 1040 and any additional appropriate schedules or forms she may need for credits. For any missing information, make reasonable assumptions. (Input all the values as positive numbers. Instructions can be found on certain cells within the forms. Round your final answers to the nearest whole dollar amount. Do not skip rows, while entering in Dependents section of Form 1040 PG1.)

 

Use the appropriate Tax Tables and EIC table.

 

rev: 03_17_2021_QC_CS-257838

Step-by-step explanation:

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2 years ago
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shtirl [24]
It would make more sense to remove 4 and D

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3 years ago
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